Squashed 'third_party/boostorg/odeint/' content from commit 6ff2719

Change-Id: If4892e29c1a5e6cf3a7aa51486a2725c251b0c7d
git-subtree-dir: third_party/boostorg/odeint
git-subtree-split: 6ff2719b6907b86596c3d43e88c1bcfdf29df560
diff --git a/examples/my_vector.cpp b/examples/my_vector.cpp
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+++ b/examples/my_vector.cpp
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+/*
+ * Copyright 2011-2012 Mario Mulansky
+ * Copyright 2012-2013 Karsten Ahnert
+ *
+ * Distributed under the Boost Software License, Version 1.0.
+ * (See accompanying file LICENSE_1_0.txt or
+ * copy at http://www.boost.org/LICENSE_1_0.txt)
+ *
+ * Example for self defined vector type.
+ */
+
+#include <vector>
+
+#include <boost/numeric/odeint.hpp>
+
+//[my_vector
+template< size_t MAX_N >
+class my_vector
+{
+    typedef std::vector< double > vector;
+
+public:
+    typedef vector::iterator iterator;
+    typedef vector::const_iterator const_iterator;
+
+public:
+    my_vector( const size_t N )
+        : m_v( N )
+    { 
+        m_v.reserve( MAX_N );
+    }
+
+    my_vector()
+        : m_v()
+    {
+        m_v.reserve( MAX_N );
+    }
+
+// ... [ implement container interface ]
+//]
+    const double & operator[]( const size_t n ) const
+    { return m_v[n]; }
+
+    double & operator[]( const size_t n )
+    { return m_v[n]; }
+
+    iterator begin()
+    { return m_v.begin(); }
+
+    const_iterator begin() const
+    { return m_v.begin(); }
+
+    iterator end()
+    { return m_v.end(); }
+    
+    const_iterator end() const
+    { return m_v.end(); }
+
+    size_t size() const 
+    { return m_v.size(); }
+
+    void resize( const size_t n )
+    { m_v.resize( n ); }
+
+private:
+    std::vector< double > m_v;
+
+};
+
+//[my_vector_resizeable
+// define my_vector as resizeable
+
+namespace boost { namespace numeric { namespace odeint {
+
+template<size_t N>
+struct is_resizeable< my_vector<N> >
+{
+    typedef boost::true_type type;
+    static const bool value = type::value;
+};
+
+} } }
+//]
+
+
+typedef my_vector<3> state_type;
+
+void lorenz( const state_type &x , state_type &dxdt , const double t )
+{
+    const double sigma( 10.0 );
+    const double R( 28.0 );
+    const double b( 8.0 / 3.0 );
+
+    dxdt[0] = sigma * ( x[1] - x[0] );
+    dxdt[1] = R * x[0] - x[1] - x[0] * x[2];
+    dxdt[2] = -b * x[2] + x[0] * x[1];
+}
+
+using namespace boost::numeric::odeint;
+
+int main()
+{
+    state_type x(3);
+    x[0] = 5.0 ; x[1] = 10.0 ; x[2] = 10.0;
+
+    // make sure resizing is ON
+    BOOST_STATIC_ASSERT( is_resizeable<state_type>::value == true );
+
+    // my_vector works with range_algebra as it implements
+    // the required parts of a container interface
+    // no further work is required
+
+    integrate_const( runge_kutta4< state_type >() , lorenz , x , 0.0 , 10.0 , 0.1 );
+}